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Science/Engineering Analysis in Integer and Fractional Dimensions

Posted on 2010-04-13




Name:Science/Engineering Analysis in Integer and Fractional Dimensions
ASIN/ISBN:0521650844
Language:English
File size:3 Mb
Publish Date: August 20, 2001
ISBN: 0521650844
Pages: 576 pages
File Type: PDF
File Size: 3 mb
Other Info: Cambridge University Press
   Science/Engineering Analysis in Integer and Fractional Dimensions

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Ron Blei,"Analysis in Integer and Fractional Dimensions"

This book provides a thorough and self-contained study of interdependence and complexity in settings of functional analysis, harmonic analysis and stochastic analysis. It focuses on "dimension" as a basic counter of degrees of freedom, leading to precise relations between combinatorial measurements and various indices originating from the classical inequalities of Khintchin, Littlewood and Grothendieck. Topics include the (two-dimensional) Grothendieck inequality and its extensions to higher dimensions, stochastic models of Brownian motion, degrees of randomness and Fréchet measures in stochastic analysis. This book is primarily aimed at graduate students specializing in harmonic analysis, functional analysis or probability theory. It contains many exercises and is suitable as a textbook. It is also of interest to computer scientists, physicists, statisticians, biologists and economists.



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